Answer:........... .. .....
Answer:
The force is ![F = 423.04 \ N](https://tex.z-dn.net/?f=F%20%3D%20%20423.04%20%20%5C%20%20N)
Explanation:
From the question we are told that
The weight is ![W = 35 .0 \ N](https://tex.z-dn.net/?f=W%20%20%3D%20%2035%20.0%20%5C%20N)
The force constant is ![k = 220 \ N/m](https://tex.z-dn.net/?f=k%20%3D%20%20220%20%5C%20%20N%2Fm)
The frequency is ![f = 10.5 \ Hz](https://tex.z-dn.net/?f=f%20%20%3D%20%2010.5%20%5C%20Hz)
The amplitude is ![A = 3.00 \ cm = 0.03 \ m](https://tex.z-dn.net/?f=A%20%3D%20%203.00%20%5C%20cm%20%3D%200.03%20%5C%20m)
Generally the maximum driving force is mathematically represented as
![F = m * w^2 A](https://tex.z-dn.net/?f=F%20%3D%20%20m%20%20%2A%20w%5E2%20%20A)
Here m is the mass of the weight which is mathematically represented as
![m = \frac{ W }{g}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20W%20%7D%7Bg%7D)
=> ![m = \frac{ 35 }{9.8 }](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%2035%20%7D%7B9.8%20%7D)
=> ![m = 3.571 \ kg](https://tex.z-dn.net/?f=m%20%20%3D%20%203.571%20%5C%20%20kg)
Also
is the angular frequency of the weight which is mathematically represented as
![w = 2 \pi * f](https://tex.z-dn.net/?f=w%20%3D%20%202%20%5Cpi%20%2A%20%20f)
![w = 2* 3.142 * 10](https://tex.z-dn.net/?f=w%20%3D%20%202%2A%20%203.142%20%20%2A%20%2010)
=> ![w = 62.84 \ rad/s](https://tex.z-dn.net/?f=w%20%3D%2062.84%20%5C%20%20rad%2Fs)
So
![F = 3.571 * 62.84^2 * 0.03](https://tex.z-dn.net/?f=F%20%3D%20%203.571%20%20%20%2A%2062.84%5E2%20%20%2A%200.03)
![F = 423.04 \ N](https://tex.z-dn.net/?f=F%20%3D%20%20423.04%20%20%5C%20%20N)
Answer:
The solution is given below:
Explanation:
The computation of the speed is shown below
As we know that
Speed = distance ÷ time
where
distance is 2000 km
And, the time is 2.5 hours
SO, the speed is
= 2,000 ÷ 2.5
= 800 km/h
Now the distance would be the same i.e. 2,000 km
but the time is 2 hours
So, the speed is
= 2,000 km ÷ 2 hours
= 1,000 km/hr
The direction should be opposite to the first airplane
<span>speed = wavelength x frequency
speed = 0.4m X 10 Hz
speed = 4 m/s</span>